Charge-independent trend of isoscalar matrix elements along the $N \sim Z$ line
| dc.creator | Orce, J. N. | |
| dc.creator | Velazquez, V. | |
| dc.date | 2006-03-09 | |
| dc.date.accessioned | 2026-07-07T07:07:32Z | |
| dc.date.available | 2026-07-07T07:07:32Z | |
| dc.description | Shell model calculations have been carried out using the m-scheme numerical code {\small ANTOINE} in order to elucidate the particular trend of the isoscalar matrix elements, $M_0$, for $A=4n+2$ isobaric triplets ranging from A=18 to A=42. The 2${_1^+}_{(T=1)}$ $\to$ 0${_1^+}_{(T=1)}$ transition energies, reduced transition probabilities and isoscalar matrix elements are predicted to a high degree of accuracy. The general agreement of $M_0$ between those from mirror pairs and those from $T_Z=0$ nuclides support our shell model calculations. The predicted results tie together recent experimental data, and the trend of $M_0$ strength along the $sd$ and beginning of the $fp$ shells is interpreted in terms of the dynamic shell structure. Certain discrepancies arise at A=18 and A=38 isobaric triplets, which might be explained in terms of core polarization effects and the low occupancy of the orbits at the extremes of the $sd$ shell. | |
| dc.description | 7 pages, 3 figs | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0603030 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0603030 | |
| dc.identifier | Nucl.Phys. A764 (2006) 205-211 | |
| dc.identifier | doi:10.1016/j.nuclphysa.2005.09.023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110427 | |
| dc.subject | Nuclear Theory | |
| dc.title | Charge-independent trend of isoscalar matrix elements along the $N \sim Z$ line | |
| dc.type | text |